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COMBINATORIAL DEPLETION · 8D · RANK-0 · 70% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 70% Penetration (5% Audit DEP366)

Removing 103 of 128 0-Value Tens & Faces (Rank-0) cards at 70% penetration of a 8-deck (416-card) shoe leaves 25 Rank-0 cards inside a 125-card stub (DEP366), producing 45.8626% Banker wins, 44.6216% Player wins, 9.5158% Ties, and a 1.0521% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0521%
Player EV (1:1)
-1.2410%
Rank-0 in 125-Card Stub
25/128
Single-Hand Std Dev
0.9365
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P B P P B B P B P P B B P B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP366 (8D Rank-0 at 70% depth).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP366)
125 / 416 Cards

70% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
25 of 128 Cards

103 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (5% Vig)
-1.0521%

Resolved at 45.8626% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2410%

Resolved at 44.6216% Player win rate with 0.9365 unit standard deviation.

Tie Incidence (8:1)
9.5158%

Produces a 14.3581% house hold on the 8-to-1 Tie wager in state DEP366.

FINITE-SHOE ENUMERATION · DEP366

How 0-Value Tens & Faces Depletion at 70% Depth Impacts 8D (5% Vig)

In combinatorial record DEP366, depleting 103 Rank-0 cards across 70% of a 8D (416-card) pack leaves 25 0-Value Tens & Faces cards among 125 remaining cards, setting Banker win probability to 45.8626% and house edge to 1.0521% (5% Vig).

Depleting zero-point cards reduces (DEP366) modulo-10 standoffs and alters two-card (8D-70%) natural combinations paired with 8s (DEP366·8D-70%) and 9s. In state DEP366 (8D, 70% depth), each removed Rank-0 card applies a +0.18 bps baseline directional pressure before scaling to the 125-card remainder (25 Rank-0 left), while With 70% of cards (DEP366-8D) dealt and 30% remaining ahead (25/128) of the cut card, winning (DEP366-8D·25/128) Banker bets pay 0.95 to 1.

State DEP366 (8D, 70% depth, 25/128 Rank-0 left, 5% Vig)
Wager / MetricState DEP366 Value8D BaselineSettlement Note
DEP366 Banker (5% Vig)45.8626% (-1.0521% EV)45.8597%DEP366 8D 70% (25 Rank-0)
DEP366 Player (1:1)44.6216% (-1.2410% EV)44.6247%DEP366 125-card 8D stub (0.9365 SD)
DEP366 Tie (8:1)9.5158% (-14.3581% EV)9.5156%DEP366 Rank-0 (103 out, 25 in)
TABLEAU & SCOREBOARD SEPARATION · DEP366

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP366 · 8D)

While DEP366 tracks 103 removed 0-Value Tens & Faces cards across 70% of a 416-card (8D) shoe (125 remaining, 1.0521% 5% Vig edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP366 (8D 70%): 125/416 cards with 25/128 Rank-0 (1A).
  • DEP366 (Rank-0 split): 45.8626% Banker, 44.6216% Player, 9.5158% Tie in 125 8D cards (1B).
  • DEP366 (5% Vig EV): -1.0521% Banker, -1.2410% Player, -14.3581% Tie, 0.9365 SD at 70% (1C).
  • DEP366 (8D roads): red/blue marks log Big Road columns, never 25 Rank-0 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 103 0-Value Tens & Faces cards leave a 8D shoe by 70% depth (DEP366), Big Eye Boy red or blue marks show whether Banker or Player will win next.
TruthDerived-road red and blue marks only compare Big Road column lengths and never track Rank-0 stub counts (25/128 in 125 cards); Banker carries a -1.0521% expectation under 5%.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android